{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6907767c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.io\n",
    "from math import pi"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04fd10ea",
   "metadata": {},
   "source": [
    "### True solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c00f916c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 256)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, pi, 256)\n",
    "t = np.linspace(0, 1, 100)\n",
    "\n",
    "# Broadcasting to create the u_exact tensor with shape (100, 256)\n",
    "u_exact = np.sin(x)[:, np.newaxis] * np.cos(4 * np.pi * t)\n",
    "\n",
    "# Now, u_exact will have the shape (100, 256)\n",
    "\n",
    "u_exact = u_exact.T\n",
    "u_exact.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3f04b081",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import FixedLocator\n",
    "\n",
    "# Assuming you have defined concatenated_tensor as a PyTorch tensor\n",
    "# concatenated_tensor = torch.cat((tensor1, tensor2), dim=0)\n",
    "\n",
    "# Convert concatenated_tensor to a NumPy array\n",
    "concatenated_array = u_exact\n",
    "\n",
    "# Define custom color levels\n",
    "X, T = np.meshgrid(x, t)\n",
    "\n",
    "# Define custom color levels using the minimum and maximum from the NumPy array\n",
    "c_levels = np.linspace(np.min(concatenated_array), np.max(concatenated_array), 100)\n",
    "\n",
    "# Plot the contour\n",
    "plt.figure(figsize=(15, 5))\n",
    "CS1 = plt.contourf(T, X, concatenated_array, levels=c_levels, cmap='twilight_r')\n",
    "\n",
    "# Create a custom font with Times New Roman\n",
    "plt.rcParams['figure.figsize'] = [10, 4]\n",
    "\n",
    "from matplotlib.font_manager import FontProperties\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "font_path = 'times-new-roman.ttf'\n",
    "custom_font = FontProperties(fname=font_path)\n",
    "\n",
    "cbar1 = plt.colorbar(CS1)\n",
    "# Set the number of ticks for the color bar with uniformly distributed numbers\n",
    "num_ticks = 5\n",
    "c_ticks = np.linspace(np.min(concatenated_array), np.max(concatenated_array), num_ticks)\n",
    "cbar1.set_ticks(c_ticks)\n",
    "\n",
    "for t in cbar1.ax.get_yticklabels():\n",
    "    t.set_fontproperties(custom_font)\n",
    "    t.set_fontsize(20)\n",
    "\n",
    "plt.xlabel('$t$', fontsize=20, fontproperties=custom_font)\n",
    "plt.ylabel('$x$', fontsize=20, fontproperties=custom_font)\n",
    "plt.title('$u(x, t)$', fontsize=20, fontproperties=custom_font)\n",
    "plt.xticks(fontsize=20, fontproperties=custom_font)\n",
    "plt.yticks(fontsize=20, fontproperties=custom_font)\n",
    "\n",
    "# Add a dotted line at t = 0.8\n",
    "#plt.axvline(x=0.8, color='black', linestyle='dotted')\n",
    "\n",
    "# Set the number of ticks for x-axis and y-axis to 5\n",
    "num_ticks = 5\n",
    "x_ticks = np.linspace(np.min(T), np.max(T), num_ticks)\n",
    "y_ticks = np.linspace(np.min(X), np.max(X), num_ticks)\n",
    "\n",
    "plt.gca().xaxis.set_major_locator(FixedLocator(x_ticks))\n",
    "plt.gca().yaxis.set_major_locator(FixedLocator(y_ticks))\n",
    "cbar1.locator = FixedLocator(c_ticks)\n",
    "\n",
    "plt.savefig('True_Euler.pdf', dpi=300)\n",
    "plt.savefig('True_euler.png', dpi=300)\n",
    "# Show the plot\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e24626db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import FixedLocator\n",
    "\n",
    "# Assuming you have defined concatenated_tensor as a PyTorch tensor\n",
    "# concatenated_tensor = torch.cat((tensor1, tensor2), dim=0)\n",
    "\n",
    "# Convert concatenated_tensor to a NumPy array\n",
    "concatenated_array = u_exact\n",
    "\n",
    "# Define custom color levels\n",
    "x = np.linspace(0, np.pi, concatenated_array.shape[1])  # Replace 0 and 1 with your actual x range\n",
    "t = np.linspace(0, 1, concatenated_array.shape[0])  # Replace 0 and 1 with your actual t range\n",
    "X, T = np.meshgrid(x, t)\n",
    "\n",
    "# Define custom color levels using the minimum and maximum from the NumPy array\n",
    "c_levels = np.linspace(np.min(concatenated_array), np.max(concatenated_array), 400)\n",
    "\n",
    "# Plot the contour with interpolated data\n",
    "plt.figure(figsize=(20, 5))\n",
    "plt.pcolormesh(T, X, concatenated_array, shading='auto', cmap='twilight')\n",
    "\n",
    "# Set the fontweight for axis labels to regular (not bold)\n",
    "plt.xlabel(\"$t$\", fontsize=26)\n",
    "plt.ylabel(\"$x$\", fontsize=26)\n",
    "plt.title(\"$u(x, t)$\", fontsize=26)\n",
    "\n",
    "# Set tick labels fontweight to regular (not bold) and increase font size\n",
    "plt.tick_params(axis='both', which='major', labelsize=20, width=3, length=10)\n",
    "\n",
    "# Set the fontweight for tick labels to regular (not bold)\n",
    "for tick in plt.gca().get_xticklabels() + plt.gca().get_yticklabels():\n",
    "    tick.set_weight('normal')\n",
    "\n",
    "# Set the number of ticks for x-axis and y-axis to 5\n",
    "num_ticks = 5\n",
    "x_ticks = np.linspace(np.min(T), np.max(T), num_ticks)\n",
    "y_ticks = np.linspace(np.min(X), np.max(X), num_ticks)\n",
    "\n",
    "plt.gca().xaxis.set_major_locator(FixedLocator(x_ticks))\n",
    "plt.gca().yaxis.set_major_locator(FixedLocator(y_ticks))\n",
    "\n",
    "cbar1 = plt.colorbar()\n",
    "# Set the number of ticks for the color bar with uniformly distributed numbers\n",
    "num_ticks = 5\n",
    "c_ticks = np.linspace(np.min(concatenated_array), np.max(concatenated_array), num_ticks)\n",
    "cbar1.set_ticks(c_ticks)\n",
    "\n",
    "# Set the fontweight and fontsize for color bar tick labels\n",
    "for t in cbar1.ax.get_yticklabels():\n",
    "    t.set_weight('normal')\n",
    "    t.set_fontsize(26)  # Increase the font size for color bar tick labels\n",
    "\n",
    "# Increase the size of numbers on axis and color bar\n",
    "plt.xticks(fontsize=26)\n",
    "plt.yticks(fontsize=26)\n",
    "\n",
    "# Increase the tick size and width of the color bar\n",
    "cbar1.ax.tick_params(axis='both', which='major', labelsize=30, width=3,  length=10)\n",
    "\n",
    "#plt.savefig('Contour_Exact.pdf', dpi=500, bbox_inches=\"tight\")\n",
    "plt.savefig('contour_exact.jpeg', dpi=500, bbox_inches=\"tight\")\n",
    "# Show the plot\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f1e2b717",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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